SUMMARY OF INFORMATION ON EACH COURSE/MODULE
1.
2.
3.
4.
Name of Course/Module/Subject
Course /Subject Code
Status of Subject
MQF Level/Stage
Computational Methods
TMA1301
Core
Note :
Certificate – MQF Level 3
Diploma – MQF Level 4
Bachelor – MQF Level 6
Masters – MQF Level 7
Doctoral – MQF Level 8
5.
Bachelor - MQF Level 6
Version
(state the date of the last Senate approval)
October 2013
6.
7.
8.
9.
Pre-Requisite/Requirement for Registration
TMA1101 Calculus
Name(s) of academic/teaching staff
Dr. Khor Chia Ying
Semester and Year offered
Trimester 2 (Beta)
Objective of the course/module/subject in the programme :
To equip students with knowledge of computational methods and ability to manipulate software in solving
mathematical problems.
10.
Justification for including the subject in the program :
11.
To provide students with general computational methods knowledge and problem solving skills using software.
Subject Learning Outcomes :
Domain
Level
12.
13.
LO1. Describe types of computational errors and
techniques for reducing them.
Cognitive
Level 1
LO2. Use algorithms to find roots of equations and
numerical integration.
Cognitive
Level 3
LO3. Solve systems of linear equations and
approximation problems.
Cognitive
Level 3
LO4. Solve computational problems with numerical
methods.
Cognitive
Level 3
Mapping of Learning Outcomes to Programme Outcomes :
Learning Outcomes
PO1
PO2
PO3
PO4
LO1
X
LO2
X
LO3
X
LO4
X
Assessment Methods and Types :
Method and Type
Description/Details
Quiz
Test
Assignment
Final Exam
PO5
Written
Written
Computational problems solving using software
Written
PO6
PO7
PO8
Percentage (%)
20
20
20
40
PO9
14.
Detail of Subject
Topics
Mode of Delivery
Indicate allocation of
SLT (lecture, tutorial, lab) for each subtopic
(eg : Lecture, Tutorial, Workshop, Seminar, etc.)
Lecture (Hrs)
1. Introduction
Nested multiplication; absolute and relative
errors, rounding and chopping; number
representations and errors, loss of
significance; introduction to software.
2. Locating Roots of Equations
Bisection method; Newton`s method; secant
method; convergence analysis.
3. Numerical Integration
Definite integral; trapezoidal rule; error
analysis; Romberg algorithm.
4. Matrices and Systems of Linear
Equations
Linear algebra concepts: vectors, matrices,
subspaces, linear independence, bases, linear
transformation,
eigenvalues
and
eigenvectors, singular value decomposition;
Naïve Gauss elimination; condition number
and ill-conditioning; residual and error
vectors; Gauss elimination with scaled
partial pivoting; LU factorization; iterative
solution of linear systems; Jacobi and GaussSeidel methods; convergence analysis.
5. Monte Carlo Methods and Simulation
Random numbers and pseudo-random
numbers; estimation of areas and volumes by
Monte Carlo techniques; examples of
simulation.
6. Least Square Problems, Interpolation
and Polynomial Approximation
Least squares approximation. Interpolation
and extrapolation, Taylor polynomials,
Lagrange polynomials, Newton’s divideddifference polynomials.
Tutorial (Hrs)
2
4
2
2
4
2
2
12
4
8
2
2
4
28
15.
Lab (Hrs)
2
4
10
Total Student
Learning Time (SLT)
Lecture
Tutorials
Face to Face
28
18
28
18
Laboratory
Quiz
Assignment
Test
10
0
1
0
10
18
15
4
18
Independent Learning
16.
17.
18.
Final Exam
0
Sub Total
57
Total SLT
Credit Value
Reading Materials :
Textbook
 Cheney, E. W., &Kincaid, D. R.
(2012).Numerical Mathematics and Computing
(7thed.). CA, 94002:Cengage Learning.
10
103
160
4
Reference Materials
David C. Lay. (2012).Linear Algebra and Its Applications(4th
ed.). Pearson.
Sauer, T. D. (2012).Numerical Analysis (2nd ed.).Pearson.
Appendix (to be compiled when submitting the complete syllabus for the programme) :
1. Mission and Vision of the University and Faculty
2. Programme Objectives or Programme Educational Objectives
3. Programme Outcomes (POs)
4. Mapping of POs to the 8 MQF domain
5. Mapping of Los to the POs
6. Summary of the Bloom’s Taxonomy’s Domain Coverage in all the Los in the format below :
Subject
TMA1301
Learning
Outcomes
(please state the
learning outcomes)
Learning Outcome 1
Learning Outcome 2
Learning Outcome 3
Learning Outcome 4
Bloom’s Taxonomy Domain
Affective
Cognitive
Psychomotor
1
3
3
3
7. Summary of LO to PO measurement
8. Measurement and Tabulation of result for LO achievement
9. Measurement Tabulation of result for PO achievement
Mapping Assessment to Learning Outcomes
No.
A1
Assessment
Quiz
%
20
LO1
x
LO2
x
LO3
x
A2
Test
20
x
x
x
A3
Assignment
20
A4
Final Exam
40
LO4
x
x
x
x
x